Weak 3: Introduction to sets, set operations, functions, types of functions

Introduction:

Function:

In this section we explore the idea of a function and then give the mathematical
definition of function.

Functions All Around Us:


In nearly every physical phenomenon we observe that one quantity depends on
another. For example, your height depends on your age, the temperature depends on
the date, the cost of mailing a package depends on its weight (see Figure 1). We use
the term function to describe this dependence of one quantity on another. That is,
we say the following:
■ Height is a function of age.
■ Temperature is a function of date.
■ Cost of mailing a package is a function of weight.

Objectives:

  1. What Is a Function?
  2. Graphs of Functions
  3. Increasing and Decreasing Functions; Average Rate of Change
  4. Transformations of Functions
  5. Combining Functions
  6. One-to-One Functions and Their Inverses
  7. Polynomial Functions and Their Graphs
  8. Dividing Polynomials
  9. Exponential Functions
  10. Logarithmic Functions
  11. Laws of Logarithms

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